All categories

3 years ago

What is the length of the side labeled x cm?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

There are many ways to find the side length of a right triangle.

.. When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem. ..

When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa.

You might be interested in

Ten members of a wedding party are lining up in a row for a photograph. How many ways are there to line up the ten people? How m

svp [43]

Answer:

(a) 10!

(b) 9!

Step-by-step explanation:

(a)

Total number of members = 10

We need to line up the ten people.

Total number of ways to arrange n terms is n!. Similarly, total number of ways to line up the ten people is

$\text{Total ways} =10!$

Therefore the total number of ways to line up the ten people is 10!.

(b)

Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).

$\text{Total ways} =9!1!1!=9!$

Therefore the number of ways to line up the ten people if the groom must be to the immediate left of the bride in the photo is 9!.

(c)

Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).

Bride and groom can interchange there sits.

Total number of ways to arrange bride and groom = 2!

$\text{Total ways} =9!2!$

Therefore the number of ways to line up the ten people if the groom must be next to the bride (either on her left to right side) is 9!2!.

3 0

3 years ago

Read 2 more answers

PLEASE HELP ANYONE HELP ME W THIS

Svetlanka [38]

Answer:

a. 1

b. 5

Step-by-step explanation:

Ordered pairs are (x, f(x)). You want f(2), so you look for an ordered pair that lists 2 as the first number. That one is (2, 1). This means f(2) = 1.

f(2) is plotted as the point (2, f(2)). That is, the x-coordinate of the point will be 2. The point that has x-coordinate 2 is (2, 5).

As above, this means f(2) = 5.

4 0

2 years ago

If sin θ = 1/3 and tan θ < 0, what is the value of cos θ?

Mashcka [7]

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\quad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\
sin(\theta )=\cfrac{1}{3}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\impliedby 
\begin{array}{llll}
\textit{so, let's use the pythagorean}\\
\textit{theorem to get the adjacent}
\end{array}$

$\bf c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{3^2-1^2}=a\implies \pm\sqrt{8}=a\implies \pm2\sqrt{2}=a$

so hmmm which is it, the +/-? well, we know that <span>tan(θ) < 0, that means the tangent of the angle is negative, well, the tangent is opposite/adjacent, the only way that fraction can be negative, is that if either, no both, just either opposite or adjacent is negative.

well, we know the opposite is +1, so, the adjacent then has to be negative, so is -2√(2) then

</span> $\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(\theta)=\cfrac{-2\sqrt{2}}{3}$

8 0

4 years ago

Lara draws some triangle models with the measurements she wants to use to construct them.

GrogVix [38]

Answer:

Ok, but what is the question or data?

5 0

2 years ago

Factor Completely 6w^2+24w+36

Luba_88 [7]

6(w^2 +4w +6)
Cannot factor any farther

7 0

4 years ago

Read 2 more answers